87965733756961 has 2 divisors, whose sum is σ = 87965733756962. Its totient is φ = 87965733756960.

The previous prime is 87965733756947. The next prime is 87965733756983. The reversal of 87965733756961 is 16965733756978.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61565302478736 + 26400431278225 = 7846356^2 + 5138135^2 .

It is a cyclic number.

It is not a de Polignac number, because 87965733756961 - 2⁹ = 87965733756449 is a prime.

It is not a weakly prime, because it can be changed into another prime (87965733756931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43982866878480 + 43982866878481.

It is an arithmetic number, because the mean of its divisors is an integer number (43982866878481).

Almost surely, 2^{87965733756961} is an apocalyptic number.

It is an amenable number.

87965733756961 is a deficient number, since it is larger than the sum of its proper divisors (1).

87965733756961 is an equidigital number, since it uses as much as digits as its factorization.

87965733756961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10802030400, while the sum is 82.

The spelling of 87965733756961 in words is "eighty-seven trillion, nine hundred sixty-five billion, seven hundred thirty-three million, seven hundred fifty-six thousand, nine hundred sixty-one".